abstract
The existence, uniqueness up to translation and global exponential stability with phase shift of bistable travelling waves are established for a quasimonotone reaction–diffusion system modelling man–environment–man epidemics. The methods involve phase space investigation, monotone semiflows approach and spectrum analysis.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to Professor Shui-Nee Chow on the occasion of his 60th birthday.
Supported in part by the NSERC of Canada
Rights and permissions
About this article
Cite this article
Xu, D., Zhao, XQ. Bistable Waves in an Epidemic Model. J Dyn Diff Equat 16, 679–707 (2004). https://doi.org/10.1007/s10884-004-6113-z
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10884-004-6113-z